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13886000 = 245353131
BaseRepresentation
bin110100111110…
…001000110000
3222010111000022
4310332020300
512023323000
61213343012
7226012652
oct64761060
928114008
1013886000
117924837
124797a68
132b5258b
141bb66d2
151344585
hexd3e230

13886000 has 80 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 5408000.

The previous prime is 13885999. The next prime is 13886011. The reversal of 13886000 is 68831.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105935 + ... + 106065.

Almost surely, 213886000 is an apocalyptic number.

13886000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

13886000 is an abundant number, since it is smaller than the sum of its proper divisors (20585008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13886000 is a wasteful number, since it uses less digits than its factorization.

13886000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 13886000 is about 3726.3923572270. The cubic root of 13886000 is about 240.3582612339.

The spelling of 13886000 in words is "thirteen million, eight hundred eighty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 131 200 212 250 262 265 400 424 500 524 530 655 848 1000 1048 1060 1310 1325 2000 2096 2120 2620 2650 3275 4240 5240 5300 6550 6625 6943 10480 10600 13100 13250 13886 16375 21200 26200 26500 27772 32750 34715 52400 53000 55544 65500 69430 106000 111088 131000 138860 173575 262000 277720 347150 555440 694300 867875 1388600 1735750 2777200 3471500 6943000 13886000